具有迷向cubic张量的3维局部严格凸中心仿射超曲面的分类

具有迷向cubic张量的3维局部严格凸中心仿射超曲面的分类

论文摘要

在本文中,我们引入了中心仿射超曲面的迷向cubic张量的概念.并且,我们得到了4维仿射空间R4中具有迷向cubic张量的3维局部严格凸中心仿射超曲面的完全分类.

论文目录

  • 摘要
  • Abstract
  • 第一章 引言
  • 第二章 预备知识
  • 第三章 主要定理的证明
  •   3.1 cubic张量的分量表达式
  •   3.2 特殊的局部标准正交标架
  •   3.3 差张量K满足的方程组
  •   3.4 差张量K的分量表达式
  •   3.5 结论
  • 参考文献
  • 致谢
  • 文章来源

    类型: 硕士论文

    作者: 王璇

    导师: 胡泽军

    关键词: 中心仿射超曲面,局部严格凸超曲面,迷向张量

    来源: 郑州大学

    年度: 2019

    分类: 基础科学

    专业: 数学

    单位: 郑州大学

    分类号: O186.11

    总页数: 44

    文件大小: 1507K

    下载量: 13

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